Tome (1986)

Singular arc-like continua

GDML_Books, (1986), p.

Résumé

CONTENTSIntroduction.......................................................................................................51. Preliminaries.................................................................................................6 A. Mappings....................................................................................................6 B. Arc-like continua.........................................................................................8 C. Pseudosuspensions...................................................................................8 D. Set-valued maps........................................................................................9 E. Cook continua...........................................................................................10 F. Countable-to-one mappings and admissible compacta.............................102. Continua nondivisible by points...................................................................11 A. V-projections.............................................................................................11 B. The construction of Σ................................................................................143. The function ξ₀............................................................................................16 A. The construction of $D_{β}$ and $Σ_{β}$ .....................................................16 B. The crucial property and its consequences..............................................18 C. Pseudosuspensions with D and Σ.............................................................204. Continua $M_{k}$ and $N_{k}$ ........................................................................21 A. The construction and properties of $M_{k}$ and $M ̃_{k}$ .............................21 B. The construction and properties of $N_{k}$ and $Ñ_{k}$ ..............................23 C. Mappings onto $N_{k}$ ...............................................................................24 D. The slight modifications of $Ñ_{k}$ .............................................................27 E. The collections N(n)..................................................................................285. Zerodimentional sets in $Ñ *_{k}$ ...................................................................29 A. Nice sequences........................................................................................29 B. The dispersion of zerodimensional sets....................................................306. The main construction................................................................................30References.....................................................................................................34

Zbl 0651.54015

EUDML-ID : urn:eudml:doc:268364

@book{bwmeta1.element.zamlynska-33153c56-c061-4fbc-a96f-9bd24b5c1bcd,
     author = {Tadeusz Ma\'ckowiak},
     title = {Singular arc-like continua},
     series = {GDML\_Books},
     publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
     address = {Warszawa},
     year = {1986},
     zbl = {0651.54015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-33153c56-c061-4fbc-a96f-9bd24b5c1bcd}
}

Tadeusz Maćkowiak. Singular arc-like continua. GDML_Books (1986),  http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-33153c56-c061-4fbc-a96f-9bd24b5c1bcd/